A local void in the globally Friedmann-Robertson-Walker (FRW) cosmological
model is studied. The inhomogeneity is described using the
Lema\^{\i}tre-Tolman-Bondi (LTB) solution with the spherically symmetric matter
distribution based on the faint galaxies number counts. We investigate the
effects this has on the measurement of the Hubble constant and the
redshift--luminosity distance relation for moderately and very distant objects
($z \approx 0.1$ and more). The results, while fully compatible with
cosmological observations, indicate that if we happened to live in such a void,
but insisted on interpreting cosmological observations through the FRW model,
we could get a few unexpected results. For example the Hubble constant
measurement could give results depending on the separation of the source and
the observer.Comment: 22 pages, 10 figures, LaTeX [aaspp,subeqn]{article}, UTPT-94-1
We prove that the flux of gravitational radiation from an isolated source in the Nonsymmetric Gravitational Theory is identical to that found in Einstein's General Theory of Relativity.
We examine gravitational waves in an isolated axi-symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form of expansions in powers of a radial coordinate. We find that in the NGT axially symmetric case the mass of the system remains constant only if the system is static (as it necessarily is in the case of spherical symmetry). If the system radiates, then the mass decreases monotonically and the energy flux associated with waves is positive.
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